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LESSON 4-1 DIVISIBILITY

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Warm Up 20, 2 10, 4 5 1 48, 2 24, 3 16, 4 12, 6 8 Course Divisibility Write each number as a product of two whole numbers in as many ways as possible. 1 16, 2 8, 4 4

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Learn to use divisibility rules. Course Divisibility

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Vocabulary divisible composite number prime number Insert Lesson Title Here Course Divisibility

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Course Divisibility A number is divisible by another number if the quotient is a whole number with no remainder. 42 ÷ 6 =7Quotient

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Course Divisibility Divisibility Rules A number is divisible by...DivisibleNot Divisible 2 if the last digit is even (0, 2, 4, 6, or 8).3,9784,975 3 if the sum of the digits is divisible by if the last two digits form a number divisible by 4. 8,5127,518 5 if the last digit is 0 or 5.14,97510,978 6 if the number is divisible by both 2 and if the sum of the digits is divisible by if the last digit is 0.15,99010,536

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Course Divisibility Additional Example 1A: Checking Divisibility Tell whether 462 is divisible by 2, 3, 4, and Not divisible So 462 is divisible by 2 and 3. The last digit, 2, is even. The sum of the digits is = is divisible by 3. The last two digits form the number is not divisible by 4. Divisible Not divisible The last digit is 2.

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Course Divisibility Additional Example 1B: Checking Divisibility Tell whether 540 is divisible by 6, 9, and So 540 is divisible by 6, 9, and 10. The number is divisible by both 2 and 3. The sum of the digits is = 9. 9 is divisible by 9. The last digit is 0. Divisible

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Course Divisibility Any number greater than 1 is divisible by at least two numbers—1 and the number itself. Numbers that are divisible by more than two numbers are called composite numbers. A prime number is divisible by only the numbers 1 and itself. For example, 11 is a prime number because it is divisible by only 1 and 11. The numbers 0 and 1 are neither prime nor composite.

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Course Divisibility Click to see which numbers from 1 through 50 are prime

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Tell whether each number is prime or composite. Additional Example 2: Identifying Prime and Composite Numbers Course Divisibility A. 23 divisible by 1, 23 prime B. 48 divisible by 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. composite

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Additional Example 2: Identifying Prime and Composite Numbers Course Divisibility C. 31 divisible by 1, 31 prime D. 18 divisible by 1, 2, 3, 6, 9, 18 composite Tell whether each number is prime or composite.

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Lesson Quiz Tell whether each number is divisible by 2, 3, 4, 5, 6, 9, and Tell whether each number is prime or composite divisible by 2, 3, 4, 5, 6, 9, 10 divisible by 2, 4 Insert Lesson Title Here divisible by 3, 5 Course Divisibility prime composite

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